Mathematics Homeschool Curriculum Skills List | Secular Third Grade

Math skills are introduced with manipulative activities that help the child see and work through the concept in a tactile manner.  This is followed by an individual activity or practice worksheet (included in the lesson).

Whole Numbers and Sets

• Count by twos, threes, fours, fives, and tens from 1-100 by memory.
• Count by hundreds to one thousand.
• Recognize, read aloud, and write the numerals in order from 0 to 1,000.
• Understand and identify place value for each digit in numbers to 1,000.
• Apply expanded notation to model place value through 999.
• Draw symbols on a place value chart to represent three-digit numbers.
• Identify the value of Roman numerals.
• Identify even and odd numbers.
• Identify a number that comes after a given number.
• Identify a number that comes before a given number.
• Identify a number that comes between two given numbers.
• Identify one, ten, one hundred, and one thousand more than a given number.
• Round numbers to the nearest ten, hundred, and thousand.
• Write numbers in expanded form.
• Estimate sums and differences up to 100.
• Continue to develop the ability to understand and use ordinal numbers, first through twelfth.
• Apply ordinals to daily experiences.
• Use comparison symbols (<, =, >).
• Use a calculator to add, subtract, multiply, and divide sets.
• Use a map scale to convert inches to feet or miles.

Patterns and Operations: Algebraic Thinking

• Compare numbers up to 100.
• Review addition facts 0-20.
• Review subtraction facts 0-20.
• Write addition and subtraction fact families.
• Identify a missing addend.
• Write an addition equation from a “some, some more” story.
• Use the inverse relationship between addition and subtraction to check answers.
• Use manipulatives to model and solve multiplication problems.
• Learn multiplication facts 0-10.
• Learn division facts 1-10.
• Use manipulatives to model and solve division problems.
• Learn divisibility rules.
• Understand that multiplication and division are inverse operations.
• Identify the factors of a number.
• Copy, extend, describe, and create simple repetitive patterns.
• Identify a missing symbol in a repeating pattern.
• Identify a missing number in a sequence.
• Use a variable to represent an unknown amount.
• Use variables in contextual situations.
• Solve for a variable in an equation.
• Identify and write a function rule.
• Write numbers in expanded form and written form.
• Add five single-digit addends without and with regrouping.
• Add, subtract, multiply, and divide two- and three-digit numbers.
• Use addition and subtraction within 100 to solve one- and two-step word problems.
• Recognize and apply the Associative Property of Addition.
• Recognize and apply the Associative Property of Multiplication.
• Recognize and apply the Commutative Property of Addition.
• Recognize and apply the Commutative Property of Multiplication.
• Recognize and apply the Identity Property of Multiplication.
• Recognize and apply the Zero Property of Multiplication.
• Follow and apply the order of operations.

Money

• Identify pennies, nickels, dimes, quarters, and dollar bills.
• Write an amount of money shown using a cent sign and as a decimal number.
• Write amounts of money using numbers, a dollar sign, and a decimal.
• Find the value of a set of coins.
• Compare monetary amounts using an inequality symbol.
• Select coins for a given amount.
• Pay for items and make change using coins and bills.
• Add and subtract money amounts using a decimal to represent the monetary values.
• Compare monetary values and determine if one set is equal to, greater than, or less than the other set.
• Solve word problems using money.

Graphing

• Use simple picture graphs, bar graphs, circle graphs, tables, and charts to solve problems and record information.
• Compare information and draw conclusions using graphs.
• Collect, organize, describe, and display data using Venn diagrams.
• Graph coordinates on a coordinate plane.

Geometry

• Identify, name, and describe polygons.
• Identify angles, vertices, and sides.
• Identify, name, and describe solids.
• Identify the interior and the exterior of a shape.
• Find the area of a regular and an irregular shape.
• Find the perimeter of a regular and an irregular shape.
• Find the volume of a solid.
• Identify and draw rays and lines.
• Identify and draw congruent shapes or line segments.
• Identify and draw horizontal and vertical lines and line segments.
• Identify and draw parallel and perpendicular lines and line segments.
• Identify and draw oblique lines and line segments.
• Identify the diameter, radius, and circumference of a circle.
• Construct and name angles.
• Combine geometric shapes to make new shapes.
• Sort shapes and explain the sorting rule.
• Classify objects according to color, shape, size, function, likeness, and differences.
• Identify and draw a line of symmetry.
• Identify similar shapes.
• Recognize and draw an acute, obtuse, and right angle.
• Draw an angle of a given degree using a protractor.
• Create symmetrical designs.
• Recognize or draw a reflection and rotation of a shape.
• Use a geoboard to show polygons, line segments, and angles.

Measurement and Estimation

• Use a ruler to measure inches, feet, yards, and centimeters.
• Draw line segments to the nearest 1/4 inch.
• Draw line segments to the nearest centimeter.
• Order objects by length or height.
• Use digital and analog clocks to tell, write, and show time to the nearest minute.
• Identify noon, midnight, a.m., and p.m.
• Order events by time.
• Compare events according to duration.
• Solve problems using a calendar.
• Write the date using digits.
• Represent numbers on a number line.
• Read a Fahrenheit thermometer.
• Identify units of capacity: cup, pint, quart, gallon, milliliter, liter, teaspoon, and tablespoon.
• Make direct comparisons using measurable attributes such as length, weight, and capacity.
• Understand relationships between units of measurement.
• Understand that one task may take more or less time to accomplish than another task. Make an estimate and experiment to test the estimate.
• Understand that one item may weigh more or less than another item. Make an estimate and experiment to test the estimate.
• Understand that one item may hold more or less than another item. Make an estimate and experiment to test the estimate.
• Draw a diagram to scale.
• Recognize a scale factor.
• Convert units of measurement.
• Calculate equivalent measurements.

Reasoning, Problem Solving, and Communication

• Make predictions.
• Use simple logic to solve a problem.
• Use simple logic to solve a mathematical word problem.
• Use simple logic to solve word puzzles.
• Describe how the problem was solved.
• Determine whether a solution to a problem is reasonable.
• Identify the questions asked in a problem.
• Recognize when additional information is required to solve a problem.
• Develop memory skills.

Fractions

• Make models that represent given fractions.
• Recognize one half, one third, and one fourth of a given whole.
• Write a fraction to show a part of a whole.
• Compare fractions.
• Identify equivalent fractions.
• Add or subtract mixed numbers.
• Identify numerator and denominator.
• Locate rational numbers on a number line.
• Represent and write mixed numbers.
• Reduce an improper fraction to lowest terms.
• Convert improper fractions to whole numbers.
• Rewrite improper fractions as mixed numbers.
• Locate positive and negative numbers on a number line.
• Read directions and follow a recipe including fractions.
• Use a fraction to represent part of an hour.
• Convert decimal numbers to fraction form.
• Write the remainder of a long division equation as a fraction in lowest terms.

Statistics and Probability

• Conduct a survey.
• Collect, sort, and tally data.
• Find the range, mean, median, and mode of a set of data.
• Solve problems using graphs, charts, and tables.
• Make an inference, and experiment to test the inference.
• Predict the most likely or least likely outcome in a probability experiment.
• Make arrangements that represent the number of possibility combinations of items from a set.
• Compare theoretical probability and experimental probability.

Graphing

• Use simple picture graphs, bar graphs, circle graphs, tables, and charts to solve problems and record information.
  
• Compare information and draw conclusions using graphs.
  
• Collect, organize, describe, and display data using Venn diagrams.
  
• Graph coordinates on a coordinate plane.

Calculators/Computers

• Demonstrate how a calculator works.
  
• Use a simple calculator to add, subtract, multiply, and divide sets.